a.
To find: the speed of the boat approaching the dock when 10 feet of rope are out.
a.
Answer to Problem 21E
The speed of the boat is
Explanation of Solution
Given information:
From the given diagram in the question we can see that,
All variables are differentiable functions of t .
Calculation :
We have to calculate the speed of the boat approaching the dock when 10 feet of rope are out.
Therefore, from right angled triangle,
Let x be the distance of the boat from dock.
Put the value of
Differentiate with respect to t .
Putting the value of
Hence, the speed of the boat is
b.
To find: the rate angle changing at that moment.
b.
Answer to Problem 21E
The value of
Explanation of Solution
Given information:
From the given diagram in the question we can see that,
All variables are differentiable functions of t .
Calculation :
We have to calculate the rate angle changing at that moment.
Therefore,
From right angled triangle
Again,
Differentiate with respect to t .
Putting the value of
Hence, the value of
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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